Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 383, 7106 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 383, 7106 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 383, 7106 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 383, 7106 is 1.
HCF(383, 7106) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 383, 7106 is 1.
Step 1: Since 7106 > 383, we apply the division lemma to 7106 and 383, to get
7106 = 383 x 18 + 212
Step 2: Since the reminder 383 ≠ 0, we apply division lemma to 212 and 383, to get
383 = 212 x 1 + 171
Step 3: We consider the new divisor 212 and the new remainder 171, and apply the division lemma to get
212 = 171 x 1 + 41
We consider the new divisor 171 and the new remainder 41,and apply the division lemma to get
171 = 41 x 4 + 7
We consider the new divisor 41 and the new remainder 7,and apply the division lemma to get
41 = 7 x 5 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 383 and 7106 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(41,7) = HCF(171,41) = HCF(212,171) = HCF(383,212) = HCF(7106,383) .
Here are some samples of HCF using Euclid's Algorithm calculations.
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 383, 7106?
Answer: HCF of 383, 7106 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 383, 7106 using Euclid's Algorithm?
Answer: For arbitrary numbers 383, 7106 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.